A particle of charge ` +q` and mass `m` moving under the influence of a uniform electric field ` E hat(i)` and uniform magnetic field ` B hat(k)` follows a trajectory from ` P to Q` as shown in fig. The velocities at `P and Q` are ` v hat(i)` and ` - 2v hat(j)` . which of the following statement(s) is/are correct ?
A. `E=3/4((mv^(2))/(qa))`
B. Rate of work done by the electric field at P is `(3)/(4)((mv^(3))/(a))`
C. Rate of work done by electric field at P is zero
D. Rate of work done by both the fields at Q is zero
